2. Modeling with Linear Functions, Linear Systems, & Exponential Functions
2.30 Graphs and characteristics of absolute value functions
Interactive practice questions
Consider the function $y=\left|x\right|$y=|x|.
a
Complete the table.
| $x$x | $-2$−2 | $-1$−1 | $0$0 | $1$1 | $2$2 |
|---|---|---|---|---|---|
| $y$y | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ | $\editable{}$ |
b
Hence sketch a graph of the function.
Loading Graph...
c
State the equation of the axis of symmetry.
d
State the coordinates of the vertex.
Vertex $=$=$\left(\editable{},\editable{}\right)$(,)
e
Write the equation and slope for the two lines that make up the graph of the function.
| Equation | Slope | |
|---|---|---|
| $x<0$x<0 | $y$y$=$=$\editable{}$ | $\editable{}$ |
|
$x>0$x>0 |
$y$y$=$=$\editable{}$ | $\editable{}$ |
Easy
4min
Consider the function $y=\left|x\right|$y=|x|.
Easy
2min
Consider the function $y=3\left|x\right|-3$y=3|x|−3.
Easy
4min
Consider the function $y=\left|x-4\right|$y=|x−4|.
Easy
3min
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